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rational roots 2x2+4x−6
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Solution
x=1,x=−3
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2x2+4x−6
Rational root theorem definition
For a polynomial equation with integer coefficients:anxn+an−1xn−1+…+a0 If a0 and an are integers, then if there is a rational solution it could be found by checking all the numbers produced for ±dividersofa0dividersofan
a0=6,an=2 The dividers of a0:1,2,3,6,The dividers of an:1,2 The following rational numbers are candidate roots:±1,2,3,61,2
Validate the roots by plugging them into 2x2+4x−6=0:x=1,x=−3